GCD of 152, 900, 104, 724 Calculator

Given Input numbers are 152, 900, 104, 724

In the factoring method, we have to find the divisors of all numbers

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (152, 900, 104, 724) = 4.

Given numbers are 152, 900, 104, 724

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2²

Therefore, GCD of 152, 900, 104, 724 is 4.

Given numbers are 152, 900, 104, 724

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(152, 900) = 34200

GCD(152, 900) = ( 152 x 900 ) / 34200

= 152 / 900

= 152

Step2:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4

Step3:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

So, Greatest Common Divisor of 152, 900, 104, 724 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 477, 605, 689
• GCD of 639, 715, 559, 226
• GCD of 862, 573, 192, 197
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• GCD of 947, 711, 433, 367

Given numbers are 152, 900, 104, 724
The greatest common divisor of numbers 152, 900, 104, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 900, 104, 724 is 4.

1. What is the GCD of 152, 900, 104, 724?

GCD of given numbers 152, 900, 104, 724 is 4

2. How to calculate the greatest common divisor of 152, 900, 104, 724?

We can find the highest common divisor of 152, 900, 104, 724 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 152, 900, 104, 724 i.e 4.

3. How can I use the GCD of 152, 900, 104, 724Calculator?

Out the numbers 152, 900, 104, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.